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Finding the Fourth Proportional to 137.98, 189.84 and 134.14

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Solution

The fourth proportional to 137.98, 189.84 and 134.14 is: 184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.98 : 189.84 = 134.14 : x
  2. Step 2: Convert to fraction form
    137.98/189.84 = 134.14/x
  3. Step 3: Cross multiply
    137.98x = 189.84 × 134.14
  4. Step 4: Simplify right side
    137.98x = 25,465.14
  5. Step 5: Solve for x
    x = 25,465.14/137.98
  6. Step 6: Final answer
    x = 184.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.